The problem requires us to modify a given number based on specific rules for its odd and even digits, then identify two specific digits in the new number, and finally calculate their sum.
D) 7 is the sum of the third digit from the left (4) and the third digit from the right (3) in the new number.
To determine the correct placement of an object to obtain a virtual and erect image from a concave mirror, we need to recall the image formation rules for concave mirrors. A concave mirror forms different types of images depending on the object's position relative to its focal point and center of curvature.
Correct Option: B) between 0–20 cm
This question deals with the phenomenon of dispersion of light when it passes through a prism. Dispersion is the splitting of white light into its constituent colors due to the difference in their refractive indices. The extent to which a light ray bends depends on its wavelength and the refractive index of the medium for that wavelength.
A) blue ray will bend more — As explained above, blue light has a shorter wavelength, leading to a higher refractive index in the prism and thus a greater angle of deviation (more bending) compared to orange light.
The question asks to identify a contraceptive method that also offers some protection against sexually transmitted diseases (STDs). We need to evaluate each option based on its primary function and any secondary benefits regarding STD prevention.
Correct Option: D) Condoms. Condoms act as a physical barrier, preventing the exchange of bodily fluids and direct skin-to-skin contact during sexual intercourse, which significantly reduces the risk of transmitting sexually transmitted diseases (STDs) in addition to preventing pregnancy.
Six persons, P, Q, R, S, T and U, travelled in different months of the same year, viz. January, February, March, July, September and December.
R travelled in September. Only one person travelled between R and T. No one travelled between U and P. P travelled in a month after U. More than two people travelled between P and S.
Who among them travelled in July?
The cost of 2 kg of apples and 2 kg of grapes on a day was found to be ₹160. After a month, the cost of 4 kg of apples and 3 kg of grapes was ₹300. Assuming the costs were not changed during the month, the cost of apples (per kg) will be
This problem can be solved by setting up a system of two linear equations with two variables. We will define variables for the cost per kg of apples and grapes, form equations based on the given information, and then solve these equations simultaneously.
Define variables:
Let \(x\) be the cost of apples per kg (in ₹).
Let \(y\) be the cost of grapes per kg (in ₹).
Formulate the first equation:
According to the problem, the cost of 2 kg of apples and 2 kg of grapes was ₹160.
\[ 2x + 2y = 160 \quad \text{(Equation 1)} \]Formulate the second equation:
After a month, the cost of 4 kg of apples and 3 kg of grapes was ₹300.
\[ 4x + 3y = 300 \quad \text{(Equation 2)} \]Simplify Equation 1:
Divide Equation 1 by 2:
\[ x + y = 80 \quad \text{(Equation 3)} \]Solve the system of equations:
From Equation 3, we can express \(y\) in terms of \(x\):
\[ y = 80 - x \]Substitute \(y\) into Equation 2:
Substitute \(80 - x\) for \(y\) in Equation 2:
\[ 4x + 3(80 - x) = 300 \]\[ 4x + 240 - 3x = 300 \]\[ x + 240 = 300 \]Solve for \(x\):
Subtract 240 from both sides:
\[ x = 300 - 240 \]\[ x = 60 \]Find the cost of apples:
The cost of apples per kg is \(x\), which is ₹60.
D) 60 — The step-by-step calculation shows that the cost of apples per kg is ₹60.
The problem asks us to identify a set of numbers that follows the same relationship as the given example sets: (1, 2) and (5, 10). We need to find a mathematical operation or pattern that connects the two numbers in each pair.
A) (4, 8)
The question asks to identify the Muslim festival that marks the culmination of the Hajj pilgrimage rites in Mecca. We need to recall the significance of each given festival.
Correct Option: B) Eid Al-Adha — This festival directly follows the completion of the Hajj rituals, symbolizing sacrifice and devotion.
Which of the following alphanumeric clusters will replace the question mark (?) in the given series to make it logically complete?
P5U, N7U, L3O, J8R,?
The question asks to identify a government scheme specifically designed for the old age protection and social security of unorganised workers. We need to evaluate each option based on its target beneficiaries and objectives.
B) Pradhan Mantri Shram Yogi Maandhan Yojana is a government scheme specifically launched for the old age protection and social security of unorganised workers. It provides a minimum assured pension of \(\text{Rs. } 3,000\) per month to eligible beneficiaries after they attain 60 years of age.